Expanded form of Decimal Fractions



Expanded form of decimal fractions are discussed here.

In expanded form of decimal fractions we will learn how to read and write the decimal numbers.



For example

4 hundreds + 9 tens + 3 ones + 2 tenths can be written as: 493.2

and similarly;

1436.74 can be written as: 1 thousands + 4 hundreds + 3 tens + 6 ones + 7 tenths + 4 hundredths

Note:

When a decimal is missing either in the integral part or decimal part, substitute with 0.

1. Write in expanded form:

(a) 3479.105

Solution:

3 thousands + 4 hundreds + 7 tens + 9 ones + 1 tenths + 0 hundredths+ 5 thousandths



(b) 7833.45

Solution:

7 thousands + 8 hundreds + 3 tens + 3 ones + 4 tenths + 5 hundredths



(c) 21.1097

Solution:

2 tens + 1 ones + 1 tenths + 0 hundredths + 9 thousandths + 7 ten thousandths



(d) 524.1

Solution:

5 hundreds + 2 tens + 4 ones + 1 tenths



(e) 143.011

Solution:

1 hundreds + 4 tens + 3 ones + 0 tenths + 1 hundredths + 1 thousandths



(f) 840.006

Solution:

8 hundreds + 4 tens + 0 ones + 0 tenths + 0 hundredths + 6 thousandths

(g) 64.21

Solution:

6 tens + 4 ones + 2 tenths + 1 hundredths



(h) 4334.334

Solution:

4 thousands + 3 hundreds + 3 tens + 4 ones + 3 tenths + 3

hundredths + 4 thousandths



2.Write as decimal fractions:

(a) 8 thousands + 8 ones + 3 tenths + 9 hundredths

Solution:

8008.39



(b) 4 thousands + 7 ones + 5 tenths + 6 hundredths

Solution:

4007.56



(c) 6 hundreds + 9 tens + 8 tenths + 4 thousandths

Solution:

690.804



(d) 3 tens + 7 ones + 6 hundredths + 8 thousandths

Solution:

37.068



(e) 4 hundreds + 5 tens + 1 one + 9 hundredths

Solution:

451.09



(f) 8 hundreds + 7 tens + 2 ones + 8 tenths + 5thousandths

Solution:

872.805



(g) 6 tens + 5 tenths + 8 hundredths

Solution:

60.58



(h) 9 hundreds + 4 tens + 3 tenths + 4 hundredths

Solution:

940.34




Decimal.
  • Decimal Place Value Chart.
  • Expanded form of Decimal Fractions.
  • Like Decimal Fractions.
  • Unlike Decimal Fraction.
  • Equivalent Decimal Fractions.
  • Changing Unlike to Like Decimal Fractions.
  • Comparison of Decimal Fractions.
  • Conversion of a Decimal Fraction into a Fractional Number.
  • Conversion of Fractions to Decimals Numbers.
  • Addition of Decimal Fractions.
  • Subtraction of Decimal Fractions.
  • Multiplication of a Decimal Numbers.
  • Multiplication of a Decimal by a Decimal.
  • Properties of Multiplication of Decimal Numbers.
  • Division of a Decimal by a Whole Number.
  • Division of Decimal Fractions
  • Division of Decimal Fractions by Multiples.
  • Division of a Decimal by a Decimal.
  • Division of a whole number by a Decimal.
  • Conversion of fraction to Decimal Fraction.
  • Simplification in Decimals.
  • Word Problems on Decimal.



  • 5th Grade Numbers Page

    5th Grade Math Problems

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